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question_answer1) Calculate the wavelength in \[\overset{o}{\mathop{A}}\,\] of the photon that is emitted when an electron in Bohr orbit with n = 2 returns to orbit with n = 1 in H atom. The ionisation potential of the ground state of H-atom is \[2.17\,\,\times \,\,{{10}^{-11}}\,\,erg.\]
question_answer2) Two particles A and B are in motion. If the wavelength associated with the particle A is \[5\,\,\times \,\,{{10}^{-8}}\,\,m,\] calculate the wavelength of particle B if its momentum is half of A. Give your answer as multiple of \[{{10}^{-8}}.\]
question_answer3) The first ionization energy of H is \[21.79\,\,\times \,\,{{10}^{-19}}\,J.\]Determine the second ionization energy of He atom. Give your answer as multiple of \[{{10}^{-19}}.\]
question_answer4) How many times larger is the spacing between the energy levels with n = 3 and n = 8 spacing between the energy level with n = 8 and n = 9 for the hydrogen atom?
question_answer5) Calculate the number of photons emitted in 10 hours by a 60 W sodium lamp. \[({{\lambda }_{photon}}\,\,=\,\,5893\overset{o}{\mathop{A}}\,).\] Give your answer as multiple of \[{{10}^{-24}}.\]
question_answer6) The de Broglie wavelength of electron of \[H{{e}^{+}}\] ion is \[3.\,329\overset{o}{\mathop{A}}\,\]. If the photon emitted upon de-excitation of this \[H{{e}^{+}}\] ion is made to hit H-atom in its ground state so as to liberate electron from it, what will be the de-Broglie's wavelength of photoelectron.
question_answer7) Calculate the circumference of the 4th Bohr orbit for an electron travelling with a velocity of \[2.19\,\,\times \,\,{{10}^{6}}\,m\,/\,s.\] Give your answer as multiple of \[{{10}^{10}}.\]
question_answer8) Calculate the angular frequency \[\left( \omega \,\,=\,\,v\,/\,r \right)\] of an electron occupying the second Bohr orbit of \[H{{e}^{+}}\] ion. Give your answer as multiple of \[{{10}^{-\,16}}.\]
question_answer9) In a measurement of quantum efficiency of photosynthesis in green plants, it was found that 10 quanta of red light of wavelength \[6850\overset{o}{\mathop{A}}\,.\]were needed to release one molecule of \[{{O}_{2}}.\] The average energy storage in this process is \[112\,\,kcal\,/\,mol\,\,{{O}_{2}}\] evolved. What is the energy conversion efficiency in this experiment? Given: 1 cal = 4.18 J; \[{{N}_{A}}=6\times {{10}^{23}};\]\[h=6.63\times {{10}^{-34}}J.s\]
question_answer10) A hydrogen atom in its ground state absorbs a photon and goes into the first excited state. It then absorbs a second photon which just ionizes it. What is the ratio of the wavelengths of the first photon and the second photon?
question_answer11) Photons having energy equivalent to binding energy of 2nd state of \[L{{i}^{+}}\] ion are used at metal surface of work function 10.6 eV. If the ejected electrons are further accelerated through the potential difference of 5V then the minimum value of de-Broglie wavelength associated with the electron is -
question_answer12) An electron has a speed of \[30,000\,\,cm\,\,se{{c}^{-1}}\] accurate upto 0.001%. What is the uncertainty in locating its position?
question_answer13) Find the number of quanta of radiations of frequency \[4.67\,\,\times \,\,{{10}^{13}}\,\,{{s}^{-1}}\] that must be absorbed in order to melt 5g of ice. The energy required to melt 1g of ice is 333 J. Give your answer as multiple of \[{{10}^{-22}}\].
question_answer14) Calculate the velocity (cm/sec.) of an electron placed in the third orbit of the hydrogen atom. Also calculate the number of revolutions per second that this electron makes around the nucleus. Give your answer as multiple of \[{{10}^{-14}}.\]
question_answer15) Calculate the wave-number of lines having the frequency of \[5\,\,\times \,\,{{10}^{16}}\] cycles per sec. Give your answer as multiple of \[{{10}^{-8}}.\]
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